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Finding the Third Proportional to 9,836 and 14,561

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Solution

The third proportional to 9,836 and 14,561 is: 21,555.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,836 : 14,561 = 14,561 : x
  2. Step 2: Convert to fraction form
    9,836/14,561 = 14,561/x
  3. Step 3: Cross multiply
    9,836x = 14,561 × 14,561
  4. Step 4: Simplify right side
    9,836x = 212,022,721
  5. Step 5: Solve for x
    x = 212,022,721/9,836
  6. Step 6: Final answer
    x = 21,555.79

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.